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Finding the Fourth Proportional to 23,111.16, 31,893.41 and 13,041.73

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Solution

The fourth proportional to 23,111.16, 31,893.41 and 13,041.73 is: 17,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.16 : 31,893.41 = 13,041.73 : x
  2. Step 2: Convert to fraction form
    23,111.16/31,893.41 = 13,041.73/x
  3. Step 3: Cross multiply
    23,111.16x = 31,893.41 × 13,041.73
  4. Step 4: Simplify right side
    23,111.16x = 415,945,349.15
  5. Step 5: Solve for x
    x = 415,945,349.15/23,111.16
  6. Step 6: Final answer
    x = 17,997.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.